Irreducible subfactors of $L(\mathbb F_\infty)$ of index $λ>4$
| dc.creator | Shlyakhtenko, Dimitri | |
| dc.creator | Ueda, Yoshimichi | |
| dc.date | 2000-10-20 | |
| dc.date | 2001-06-29 | |
| dc.date.accessioned | 2026-07-07T04:38:09Z | |
| dc.date.available | 2026-07-07T04:38:09Z | |
| dc.description | By utilizing an irreducible inclusion of type III$_{q^{2}} $ factors coming from a free-product type action of the quantum group $ SU_{q}(2) $, we show that the free group factor $ L(\mathbb {F}_{\infty}) $ possesses irreducible subfactors of arbitrary index $ >4 $. Combined with earlier results of Radulescu, this shows that $ L(\mathbb {F}_{\infty}) $ has irreducible subfactors with any index value in $ \{4\cos ^{2}(π/n):n\geq 3\}\cup [4,+\infty) $. | |
| dc.description | Final version (correcting typos and adding an appendix) | |
| dc.identifier | https://arxiv.org/abs/math/0010202 | |
| dc.identifier | http://arxiv.org/abs/math/0010202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60171 | |
| dc.subject | Operator Algebras | |
| dc.title | Irreducible subfactors of $L(\mathbb F_\infty)$ of index $λ>4$ | |
| dc.type | text |